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IrinaK [193]
3 years ago
13

What is 12+z if Z is 1/2

Mathematics
1 answer:
Lorico [155]3 years ago
4 0
All you have to do is plug in 1/2 where the z is so you would end up with 12+1/2 which equals 12 1/2
You might be interested in
Evaluate a(b - c ^ 2) * if * a = 2/3, b = 3/4, c = 1/2 A: 1/65 B: 1/3 C: 1/4 D: 2/3
DiKsa [7]

Answer:

If a+b+c=1,

a

2

+

b

2

+

c

2

=

2

,

a

3

+

b

3

+

c

3

=

3

then find the value of

a

4

+

b

4

+

c

4

=

?

we know

2

(

a

b

+

b

c

+

c

a

)

=

(

a

+

b

+

c

)

2

−

(

a

2

+

b

2

+

c

2

)

⇒

2

(

a

b

+

b

c

+

c

a

)

=

1

2

−

2

=

−

1

⇒

a

b

+

b

c

+

c

a

=

−

1

2

given

a

3

+

b

3

+

c

3

=

3

⇒

a

3

+

b

3

+

c

3

−

3

a

b

c

+

3

a

b

c

=

3

⇒

(

a

+

b

+

c

)

(

a

2

+

b

2

+

c

2

−

a

b

−

b

c

−

c

a

)

+

3

a

b

c

=

3

⇒

(

a

+

b

+

c

)

(

a

2

+

b

2

+

c

2

−

(

a

b

+

b

c

+

c

a

)

+

3

a

b

c

=

3

⇒

(

1

×

(

2

−

(

−

1

2

)

+

3

a

b

c

)

)

=

3

⇒

(

2

+

1

2

)

+

3

a

b

c

=

3

⇒

3

a

b

c

=

3

−

5

2

=

1

2

⇒

a

b

c

=

1

6

Now

(

a

2

b

2

+

b

2

c

2

+

c

2

a

2

)

=

(

a

b

+

b

c

+

c

a

)

2

−

2

a

b

2

c

−

2

b

c

2

a

−

2

c

a

2

b

=

(

a

b

+

b

c

+

c

a

)

2

−

2

a

b

c

(

b

+

c

+

a

)

=

(

−

1

2

)

2

−

2

×

1

6

×

1

=

1

4

−

1

3

=

−

1

12

Now

a

4

+

b

4

+

c

4

=

(

a

2

+

b

2

+

c

2

)

2

−

2

(

a

2

b

2

+

b

2

c

2

+

c

2

a

2

)

=

2

2

−

2

×

(

−

1

12

)

=

4

+

1

6

=

4

1

6

Extension

a

5

+

b

5

+

c

5

=

(

a

3

+

b

3

+

c

3

)

(

a

2

+

b

2

+

c

2

)

−

[

a

3

(

b

2

+

c

2

)

+

b

3

(

c

2

+

a

2

)

+

c

3

(

a

2

+

c

2

)

]

=

3

⋅

2

−

[

a

3

(

b

2

+

c

2

)

+

b

3

(

c

2

+

a

2

)

+

c

3

(

a

2

+

b

2

)

]

Now

a

3

(

b

2

+

c

2

)

+

b

3

(

c

2

+

a

2

)

+

c

3

(

a

2

+

b

2

)

=

a

2

b

2

(

a

+

b

)

+

b

2

c

2

(

b

+

c

)

+

c

2

a

2

(

a

+

c

)

=

a

2

b

2

(

1

−

c

)

+

b

2

c

2

(

1

−

a

)

+

c

2

a

2

(

1

−

b

)

=

a

2

b

2

+

b

2

c

2

+

c

2

a

2

−

(

a

2

b

2

c

+

b

2

c

2

a

+

c

2

a

2

b

)

=

−

1

12

−

a

b

c

(

a

b

+

b

c

+

c

a

)

=

−

1

12

−

1

6

⋅

(

−

1

2

)

=

0

So

a

5

+

b

5

+

c

5

=

6

−

0

=

6

Step-by-step explanation:

8 0
2 years ago
Vivian's insurance company pays for 80% of her foot surgery after she pays a $500 deductible. How much will Vivian pay for her s
Phantasy [73]
Given that the insurance pays 80% of the cost of surgery and the surgery cost $9600, the amount of money Vivian will pay will be given as follows:
20/100×9600
=$1960
since she will cater for the deductibles that amount to $500 before the insurance takes over, then the total amount she will have to pay will be:
1960+500
=$2420
4 0
3 years ago
These ordered pairs represent a function:(0,2), (1,-1), (2,-4), (3,-7). Write a function rule (equation) to represent this funct
inna [77]

Answer:

A

Step-by-step explanation:

I included the steps in the picture I attached. lmk if you need me to explain more

6 0
3 years ago
A stone which is dropped into a dry well hits the bottom in 2.2s how deep is the well. take g=10m/s​
Papessa [141]

Answer:

23.7m

Step-by-step explanation:

Given parameters:

       Time taken = 2.2s

     Acceleration due to gravity = 10m/s

Unknown:

Depth of the well  = ?

Solution:

To solve this problem, we simply apply one of the motion equations;

        S = ut + \frac{1}{2} gt²

    where S = depth of the well

                u = initial velocity

                t = time taken

               g = acceleration due to gravity

 Input the parameters and solve for S;

   Note initial velocity = 0;

     S = \frac{1}{2} x 9.8 x 2.2²

    S = 23.7m

3 0
3 years ago
What is the solution to log (9x)-log2^3= 3?
olga_2 [115]

For this case we have that by definition of properties logarithm is met:

log_ {b} (x) -log_ {b} (y) = log_ {b} (\frac {x} {y})

So, rewriting the expression we have:

log (\frac {9x} {2 ^ 3}) = 3\\log (\frac {9x} {8}) = 3

By definition of logarithm we have to:

log_ {b} (x) = yis equivalent tob ^ y = x

So:

10 ^ 3 = \frac {9x} {8}\\9x = 8 * 10 ^ 3\\9x = 8 * 1000\\9x = 8000\\x = \frac {8000} {9}

ANswer:

x = \frac {8000} {9}

3 0
3 years ago
Read 2 more answers
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